Jillian’s school is selling tickets for a play. the tickets cost $10.50 for adults and $3.75 for students. the ticket sales for opening night totaled $2071.50. the equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. if 82 students attended, how may adult tickets were sold?

The number of adults tickets sold   = 168.

Step-by-step explanation:

The cost of 1 adult ticket  = $10.50

The cost of 1 student ticket =  $3.75

The total sales from the ticket = $2071.50

Now, here let us assume

The number of adult tickets sold  = a

The number of student tickets sold  = b

So, the equation is given as :

10.50 a + 3.75 b = 2071.50

Now, its given the number of students  = 82

⇒ b  =  82

Putting the value of b in the above equation,w e get:

10.50 a + 3.75 ( 82) =  2071. 50

or, 10.50 a  = 2071.50 - 307.5 =  1764

or, a = 1764/10.5 =  168

Hence, the number of adults tickets sold  = a = 168.

it’s supposed to be -4+45=41

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180